Resumen - Soluciones

\[\log_{3}(3^{-9}) = \boxed{-9}\]

\[\log_{3} (27) = \log_3\left(3^\boxed{{3}}\right) = \boxed{3}\]

\[\log_{4} (1) = \log_{4} (4^0) = \boxed{0}\]

\[\log_{12} (1) = \boxed{0}\]

\[\log_{9} (9^{x}) = \boxed{x}\]

\[\log_{7} (7^{x^{7}+8}) = \boxed{x^{7}+8}\]

\[\log_{7} (7^{x^{7}*8}) = \boxed{8x^{7}}\]

\[\log_{7} (7^{x^{7}}*8) = \boxed{\log_{7} (7^{x^{7}}*8)}\]

\[\log_{7} (7^{x^{4}}*7*7) = \boxed{x^{4}+2}\]

\[\log_{5} (5^{6x^{6}}*5*5) = \boxed{6x^{6}+2}\]

\[\log_{7} (7^{6x^{6}}*7*7) = \boxed{6x^{6}+2}\]

\[\log_{8} (8^{4x^{10}}*8^{x+2})) = \boxed{4x^{10}+x+2}\]